Question

Banquet Hall in Troy: $25 per guest and $1000 for the room Banquet hall in Plymouth: $30 per guest and $825 for the roomHow many guests will make the cost of the two Banquet halls equal to one another?

Answer 1

Banquet Hall in Troy

It cost $25 per guest here and $1000 for the room .

Banquet hall in Plymouth

It cost $30 per guest and $825 for the room

Let

the number of guest = x

The number of the guest that will make the cost of the 2 banquet equal can be calculated below

`\begin{gathered} 1000+25x=825+30x \\ 1000-825=30x-25x \\ 175=5x \\ x=(175)/(5) \\ x=35 \end{gathered}`

The number of guest that will make the cost of the banquet equal is 35 guest.